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Finding the Fourth Proportional to 3,138.66, 4,709.04 and 1,677.48

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Solution

The fourth proportional to 3,138.66, 4,709.04 and 1,677.48 is: 2,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.66 : 4,709.04 = 1,677.48 : x
  2. Step 2: Convert to fraction form
    3,138.66/4,709.04 = 1,677.48/x
  3. Step 3: Cross multiply
    3,138.66x = 4,709.04 × 1,677.48
  4. Step 4: Simplify right side
    3,138.66x = 7,899,320.42
  5. Step 5: Solve for x
    x = 7,899,320.42/3,138.66
  6. Step 6: Final answer
    x = 2,516.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.